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13486970112 = 2837211311051
BaseRepresentation
bin11001000111110001…
…01101010100000000
31021210221010001212120
430203320231110000
5210110131020422
610110144324240
7655135232400
oct144370552400
937727101776
1013486970112
1157a10522a0
122744913680
13136c2440b5
1491d2cc800
1553e09445c
hex323e2d500

13486970112 has 432 divisors, whose sum is σ = 47065503744. Its totient is φ = 3386880000.

The previous prime is 13486970083. The next prime is 13486970129. The reversal of 13486970112 is 21107968431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12831987 + ... + 12833037.

Almost surely, 213486970112 is an apocalyptic number.

13486970112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13486970112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23532751872).

13486970112 is an abundant number, since it is smaller than the sum of its proper divisors (33578533632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13486970112 is a wasteful number, since it uses less digits than its factorization.

13486970112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 13486970112 in words is "thirteen billion, four hundred eighty-six million, nine hundred seventy thousand, one hundred twelve".